3 Let f: R → R³ be defined by f(x) = (9x, 6x, 5x). Is f a linear transformation? a. f(x + y) = f(x) + f(y) = + Does f(x + y) =f(x) + f(y) for all a, y ER? choose b. f(ca) = c(f(x)) = Does f(cx) = c(f(x)) for all c, x E R? choose c. Is f a linear transformation? choose <
3 Let f: R → R³ be defined by f(x) = (9x, 6x, 5x). Is f a linear transformation? a. f(x + y) = f(x) + f(y) = + Does f(x + y) =f(x) + f(y) for all a, y ER? choose b. f(ca) = c(f(x)) = Does f(cx) = c(f(x)) for all c, x E R? choose c. Is f a linear transformation? choose <
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 4EQ
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